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Finding the Third Proportional to 10,402,116.75 and 16,566,408

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Solution

The third proportional to 10,402,116.75 and 16,566,408 is: 26,383,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402,116.75 : 16,566,408 = 16,566,408 : x
  2. Step 2: Convert to fraction form
    10,402,116.75/16,566,408 = 16,566,408/x
  3. Step 3: Cross multiply
    10,402,116.75x = 16,566,408 × 16,566,408
  4. Step 4: Simplify right side
    10,402,116.75x = 274,445,874,022,464
  5. Step 5: Solve for x
    x = 274,445,874,022,464/10,402,116.75
  6. Step 6: Final answer
    x = 26,383,656.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.